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30 lines
989 B
Python
30 lines
989 B
Python
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def sum_of_harmonic_progression(
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first_term: float, common_difference: float, number_of_terms: int
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) -> float:
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"""
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https://en.wikipedia.org/wiki/Harmonic_progression_(mathematics)
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Find the sum of n terms in an harmonic progression. The calculation starts with the
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first_term and loops adding the common difference of Arithmetic Progression by which
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the given Harmonic Progression is linked.
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>>> sum_of_harmonic_progression(1 / 2, 2, 2)
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0.75
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>>> sum_of_harmonic_progression(1 / 5, 5, 5)
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0.45666666666666667
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"""
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arithmetic_progression = [1 / first_term]
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first_term = 1 / first_term
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for _ in range(number_of_terms - 1):
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first_term += common_difference
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arithmetic_progression.append(first_term)
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harmonic_series = [1 / step for step in arithmetic_progression]
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return sum(harmonic_series)
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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print(sum_of_harmonic_progression(1 / 2, 2, 2))
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